M. Herail et al., MOLECULAR-WEIGHT DETERMINATION FROM LIGHT-SCATTERING AND REFRACTION IN SOLUTIONS - A NEW AND COHERENT THEORETICAL EQUATION, Journal of molecular structure, 380(3), 1996, pp. 171-193
The classical theoretical equation allowing for the determination of t
he solute's molecular weight (M(2)) from light scattering (LS) and ref
ractive measurements in diluted solutions is reexamined. Serious theor
etical and practical defects in its derivation and application are poi
nted out, especially about the refraction increment dn/dc. A new theor
etical equation is deduced from a more consistent application of the b
asic molecular orientation formulae to binary liquid mixtures. More ad
equate additive molecular properties, the specific mean polarizability
<(alpha)over bar>/M and the specific square of the mean polarizabilit
y <(alpha)over bar>)(2)/M instead of <(alpha)over bar> and (<(alpha)ov
er bar>(2), are considered with respect to refraction and LS, respecti
vely. Inadequate approximations are avoided and a corrected LS intensi
ty expression is used. The new equation is tested upon several typical
mixtures of small molecules from measurements either performed in thi
s work or collected in the literature (for LS perpendicular to the inc
ident beam) to ensure objectivity. Examples of measurements in macromo
lecule solutions from other authors are also analysed. The new equatio
n is suitable for practical applications, because it is based upon eas
y relative measurements only, and allows for a reliable determination
of the M(2) values in macromolecules. The reasons for which the classi
c equation leads to realistic values, in spite of its theoretical inco
nsistency, are also explained.